Probability of Failure of High-Rise Buildings Equipped with Magnetorheological Dampers by Considering Uncertainty in Stationary and Nonstationary Earthquakes
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9, Issue 4
Abstract
In this study, the reliability analysis of magnetorheological (MR) dampers in semiactive control of structural responses under uncertainty in seismic excitation is investigated. Uncertainties in the input earthquake exerted to the base of the structure are evaluated in two cases by considering the stationary and nonstationary natures of the earthquake amplitude and frequency content. A clipped optimal control algorithm with a linear quadratic regulator control strategy is used for the semiactive control system. In this regard, an unconstrained optimization problem is proposed to minimize the maximum structural responses in order to optimize the control system’s performance of the damper. In reliability analysis, two limit state functions (LSFs) are defined based on structural safety and human comfort criteria. By using the standard Monte Carlo simulation method, the structure’s probability of failure for each LSF is calculated, and the system’s reliability in controlling the structure’s seismic responses is determined. The results show that the proposed optimization method results in better performance of dampers in reducing the structural seismic responses. Furthermore, by deriving the reliability graphs, the system’s reliability for any desired values of controlled responses can be obtained, which helps to design a reliable and safe smart structure.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
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Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9 • Issue 4 • December 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: May 8, 2023
Accepted: Aug 9, 2023
Published online: Sep 27, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 27, 2024
ASCE Technical Topics:
- Continuum mechanics
- Damping
- Design (by type)
- Dynamics (solid mechanics)
- Earthquakes
- Engineering fundamentals
- Engineering mechanics
- Geohazards
- Geotechnical engineering
- Motion (dynamics)
- Solid mechanics
- Structural analysis
- Structural design
- Structural dynamics
- Structural engineering
- Structural reliability
- Structural response
- Structural safety
- System reliability
- Systems engineering
- Systems management
- Uncertainty principles
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